Edit Profile (opens in new tab) Brown, Kenneth Stephen Compute Distance To: Compute Author ID: brown.kenneth-s Published as: Brown, Kenneth S.; Brown, K. Stephen; Brown, K. S. more...less Homepage: http://www.math.cornell.edu/~kbrown/ External Links: MGP · Wikidata · GND Documents Indexed: 44 Publications since 1961, including 7 Books Co-Authors: 13 Co-Authors with 17 Joint Publications 367 Co-Co-Authors all top 5 Co-Authors 26 single-authored 3 Abramenko, Peter 3 Geoghegan, Ross 2 Diaconis, Persi Warren 2 Farrell, Patrick J. 2 Sashegyi, Andreas I. 1 Abels, Herbert 1 Belk, James M. 1 Billera, Louis J. 1 Dror Farjoun, Emmanuel 1 Gersten, Stephen M. 1 Kahn, Peter J. 1 Meier, John 1 Seifert, Howard S. 1 Thévenaz, Jacques all top 5 Serials 4 Commentarii Mathematici Helvetici 4 Inventiones Mathematicae 4 Journal of Pure and Applied Algebra 2 Journal of Algebra 2 Graduate Texts in Mathematics 1 American Mathematical Monthly 1 The Canadian Journal of Statistics 1 Israel Journal of Mathematics 1 The Annals of Probability 1 Transactions of the American Mathematical Society 1 Statistics & Probability Letters 1 Journal of Theoretical Probability 1 International Journal of Algebra and Computation 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Group Theory 1 Innovations in Incidence Geometry 1 Springer Monographs in Mathematics all top 5 Fields 35 Group theory and generalizations (20-XX) 16 Algebraic topology (55-XX) 9 Manifolds and cell complexes (57-XX) 8 Category theory; homological algebra (18-XX) 7 Geometry (51-XX) 4 Probability theory and stochastic processes (60-XX) 3 Number theory (11-XX) 3 Convex and discrete geometry (52-XX) 2 Combinatorics (05-XX) 2 Statistics (62-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 1,918 times in 1,653 Documents Cited by ▼ Year ▼ Cohomology of groups. Zbl 0584.20036Brown, Kenneth S. 572 1982 Cohomology of groups (Summary of talks). Zbl 0367.18012Brown, K. S. 213 1976 Buildings. Zbl 0715.20017Brown, Kenneth S. 143 1989 Finiteness properties of groups. Zbl 0613.20033Brown, Kenneth S. 140 1987 Buildings. Theory and applications. Zbl 1214.20033Abramenko, Peter; Brown, Kenneth S. 132 2008 An infinite-dimensional torsion-free \(\text{FP}_{\infty}\) group. Zbl 0557.55009Brown, Kenneth S.; Geoghegan, Ross 92 1984 Abstract homotopy theory and generalized sheaf cohomology. Zbl 0245.55007Brown, Kenneth S. 75 1974 Semigroups, rings, and Markov chains. Zbl 0980.60014Brown, Kenneth S. 68 2000 Random walks and hyperplane arrangements. Zbl 0938.60064Brown, Kenneth S.; Diaconis, Persi 48 1998 Trees, valuations, and the Bieri-Neumann-Strebel invariant. Zbl 0663.20033Brown, Kenneth S. 43 1987 Euler characteristics of discrete groups and G-spaces. Zbl 0294.20047Brown, Kenneth S. 40 1974 Euler characteristics of groups: The \(p\)-fractional part. Zbl 0294.20048Brown, Kenneth S. 36 1975 Homological criteria for finiteness. Zbl 0302.18010Brown, Kenneth S. 35 1975 The coset poset and probabilistic zeta function of a finite group. Zbl 0973.20016Brown, Kenneth S. 28 2000 Semigroup and ring theoretical methods in probability. Zbl 1043.60055Brown, Kenneth S. 26 2004 Presentations for groups acting on simply-connected complexes. Zbl 0545.20022Brown, Kenneth S. 25 1984 The geometry of rewriting systems: A proof of the Anick-Groves-Squier theorem. Zbl 0764.20016Brown, Kenneth S. 23 1992 Forest diagrams for elements of Thompson’s group \(F\). Zbl 1163.20310Belk, James M.; Brown, Kenneth S. 21 2005 Complete Euler characteristics and fixed-point theory. Zbl 0493.20033Brown, Kenneth S. 19 1982 Algebraic \(K\)-theory as generalized sheaf cohomology. Zbl 0291.18017Brown, Kenneth S.; Gersten, Stephen M. 15 1973 Buildings. Reprint of the 1989 original. Zbl 0922.20034Brown, Kenneth S. 14 1998 Finiteness properties of solvable S-arithmetic groups: An example. Zbl 0617.20020Abels, Herbert; Brown, Kenneth S. 11 1987 The Artin-Rees property and homology. Zbl 0321.18010Brown, Kenneth S.; Dror, Emmanuel 11 1975 High dimensional cohomology of discrete groups. Zbl 0339.20013Brown, Kenneth S. 11 1976 The geometry of finitely presented infinite simple groups. Zbl 0753.20007Brown, Kenneth S. 9 1992 A generalization of Sylow’s third theorem. Zbl 0639.20012Brown, Kenneth S.; Thévenaz, Jacques 8 1988 Buildings. 2nd, corr. printing. Zbl 0922.20033Brown, Kenneth S. 8 1996 Automorphisms of non-spherical buildings have unbounded displacement. Zbl 1276.51004Abramenko, Peter; Brown, Kenneth S. 8 2009 Homotopy dimension and simple cohomological dimension of spaces. Zbl 0351.55009Brown, Kenneth S.; Kahn, Peter J. 7 1977 The homology of Richard Thompson’s group \(F\). Zbl 1113.20043Brown, Kenneth S. 6 2006 Five lectures on buildings. Zbl 0846.20032Brown, Kenneth S. 5 1991 Estimation in an empirical Bayes model for longitudinal and cross-sectionally clustered binary data. Zbl 0963.62008Sashegyi, Andreas I.; Brown, K. Stephen; Farrell, Patrick J. 4 2000 Improper actions and higher connectivity at infinity. Zbl 1002.57003Brown, Kenneth S.; Meier, John 4 2000 \(FP_\infty\) groups and HNN extensions. Zbl 0521.57001Brown, Kenneth S.; Geoghegan, Ross 3 1983 Cohomology with free coefficients of the fundamental group of a graph of groups. Zbl 0584.20037Brown, Kenneth S.; Geoghegan, Ross 3 1985 Cohomology of infinite groups. Zbl 0424.20044Brown, Kenneth S. 3 1980 Cohomology of groups. (Kogomologii grupp). Transl. from the English by D. B. Fuks. Zbl 0606.20041Brown, Kenneth S. 2 1987 Lectures on the cohomology of groups. Zbl 1233.20046Brown, Kenneth S. 2 2010 Random walks and plane arrangements in three dimensions. Zbl 0985.60069Billera, Louis J.; Brown, Kenneth S.; Diaconis, Persi 2 1999 Groups of virtually finite dimension. Zbl 0426.20038Brown, Kenneth S. 2 1979 Transitivity properties for group actions on buildings. Zbl 1163.51002Abramenko, Peter; Brown, Kenneth S. 1 2007 Lectures on the cohomology of groups. Zbl 1233.20046Brown, Kenneth S. 2 2010 Automorphisms of non-spherical buildings have unbounded displacement. Zbl 1276.51004Abramenko, Peter; Brown, Kenneth S. 8 2009 Buildings. Theory and applications. Zbl 1214.20033Abramenko, Peter; Brown, Kenneth S. 132 2008 Transitivity properties for group actions on buildings. Zbl 1163.51002Abramenko, Peter; Brown, Kenneth S. 1 2007 The homology of Richard Thompson’s group \(F\). Zbl 1113.20043Brown, Kenneth S. 6 2006 Forest diagrams for elements of Thompson’s group \(F\). Zbl 1163.20310Belk, James M.; Brown, Kenneth S. 21 2005 Semigroup and ring theoretical methods in probability. Zbl 1043.60055Brown, Kenneth S. 26 2004 Semigroups, rings, and Markov chains. Zbl 0980.60014Brown, Kenneth S. 68 2000 The coset poset and probabilistic zeta function of a finite group. Zbl 0973.20016Brown, Kenneth S. 28 2000 Estimation in an empirical Bayes model for longitudinal and cross-sectionally clustered binary data. Zbl 0963.62008Sashegyi, Andreas I.; Brown, K. Stephen; Farrell, Patrick J. 4 2000 Improper actions and higher connectivity at infinity. Zbl 1002.57003Brown, Kenneth S.; Meier, John 4 2000 Random walks and plane arrangements in three dimensions. Zbl 0985.60069Billera, Louis J.; Brown, Kenneth S.; Diaconis, Persi 2 1999 Random walks and hyperplane arrangements. Zbl 0938.60064Brown, Kenneth S.; Diaconis, Persi 48 1998 Buildings. Reprint of the 1989 original. Zbl 0922.20034Brown, Kenneth S. 14 1998 Buildings. 2nd, corr. printing. Zbl 0922.20033Brown, Kenneth S. 8 1996 The geometry of rewriting systems: A proof of the Anick-Groves-Squier theorem. Zbl 0764.20016Brown, Kenneth S. 23 1992 The geometry of finitely presented infinite simple groups. Zbl 0753.20007Brown, Kenneth S. 9 1992 Five lectures on buildings. Zbl 0846.20032Brown, Kenneth S. 5 1991 Buildings. Zbl 0715.20017Brown, Kenneth S. 143 1989 A generalization of Sylow’s third theorem. Zbl 0639.20012Brown, Kenneth S.; Thévenaz, Jacques 8 1988 Finiteness properties of groups. Zbl 0613.20033Brown, Kenneth S. 140 1987 Trees, valuations, and the Bieri-Neumann-Strebel invariant. Zbl 0663.20033Brown, Kenneth S. 43 1987 Finiteness properties of solvable S-arithmetic groups: An example. Zbl 0617.20020Abels, Herbert; Brown, Kenneth S. 11 1987 Cohomology of groups. (Kogomologii grupp). Transl. from the English by D. B. Fuks. Zbl 0606.20041Brown, Kenneth S. 2 1987 Cohomology with free coefficients of the fundamental group of a graph of groups. Zbl 0584.20037Brown, Kenneth S.; Geoghegan, Ross 3 1985 An infinite-dimensional torsion-free \(\text{FP}_{\infty}\) group. Zbl 0557.55009Brown, Kenneth S.; Geoghegan, Ross 92 1984 Presentations for groups acting on simply-connected complexes. Zbl 0545.20022Brown, Kenneth S. 25 1984 \(FP_\infty\) groups and HNN extensions. Zbl 0521.57001Brown, Kenneth S.; Geoghegan, Ross 3 1983 Cohomology of groups. Zbl 0584.20036Brown, Kenneth S. 572 1982 Complete Euler characteristics and fixed-point theory. Zbl 0493.20033Brown, Kenneth S. 19 1982 Cohomology of infinite groups. Zbl 0424.20044Brown, Kenneth S. 3 1980 Groups of virtually finite dimension. Zbl 0426.20038Brown, Kenneth S. 2 1979 Homotopy dimension and simple cohomological dimension of spaces. Zbl 0351.55009Brown, Kenneth S.; Kahn, Peter J. 7 1977 Cohomology of groups (Summary of talks). Zbl 0367.18012Brown, K. S. 213 1976 High dimensional cohomology of discrete groups. Zbl 0339.20013Brown, Kenneth S. 11 1976 Euler characteristics of groups: The \(p\)-fractional part. Zbl 0294.20048Brown, Kenneth S. 36 1975 Homological criteria for finiteness. Zbl 0302.18010Brown, Kenneth S. 35 1975 The Artin-Rees property and homology. Zbl 0321.18010Brown, Kenneth S.; Dror, Emmanuel 11 1975 Abstract homotopy theory and generalized sheaf cohomology. Zbl 0245.55007Brown, Kenneth S. 75 1974 Euler characteristics of discrete groups and G-spaces. Zbl 0294.20047Brown, Kenneth S. 40 1974 Algebraic \(K\)-theory as generalized sheaf cohomology. Zbl 0291.18017Brown, Kenneth S.; Gersten, Stephen M. 15 1973 all cited Publications top 5 cited Publications all top 5 Cited by 1,655 Authors 20 Steinberg, Benjamin 19 Van Maldeghem, Hendrik J. 16 Gonçalves, Daciberg Lima 14 Kochloukova, Dessislava Hristova 14 Zaremsky, Matthew Curtis Burkholder 12 Cleary, Sean 12 Guba, Victor S. 12 Martínez-Pérez, Conchita 11 Ash, Avner 11 Caprace, Pierre-Emmanuel 11 Dranishnikov, Alexander Nikolaevich 11 Kropholler, Peter H. 11 Saliola, Franco V. 10 Brown, Kenneth Stephen 10 Parkinson, James 10 Taback, Jennifer 9 Bux, Kai-Uwe 9 Lucchini, Andrea 9 Meier, John 9 Nucinkis, Brita E. A. 9 Panyanak, Bancha 9 Wortman, Kevin A. 8 Adem, Alejandro 8 Burillo, José 8 Davis, Michael W. 8 Hosaka, Tetsuya 8 Leary, Ian James 8 Lück, Wolfgang 8 Symonds, Peter 7 Aljadeff, Eli 7 Bieri, Robert 7 Bridson, Martin R. 7 Brin, Matthew G. 7 Dwyer, William G. 7 Geoghegan, Ross 7 Guaschi, John 7 Lorenz, Martin 7 Margolis, Stuart W. 7 Pride, Stephen James 7 Struyve, Koen 7 Suciu, Alexander I. 7 Vogtmann, Karen 7 Witzel, Stefan 7 Zimmermann, Bruno P. 6 Ayyer, Arvind 6 Blagojević, Pavle V. M. 6 Chang, Shih-Sen 6 Dekimpe, Karel 6 Dunfield, Nathan M. 6 Elder, Murray J. 6 Mihalik, Michael L. 6 Mühlherr, Bernhard Matthias 6 Paris, Luis 6 Petrosyan, Nansen 6 Sapir, Mark Valentinovich 6 Schilling, Anne 6 Shareshian, John 6 Stein, Melanie I. 5 Abramenko, Peter 5 Akita, Toshiyuki 5 Burichenko, Vladimir P. 5 Chiswell, Ian M. 5 Diaconis, Persi Warren 5 Emmanouil, Ioannis 5 Farley, Daniel Scott 5 Fulman, Jason E. 5 Funar, Louis 5 Gray, Robert D. 5 Harer, John L. 5 Hermiller, Susan M. 5 Hillman, Jonathan Arthur 5 Januszkiewicz, Tadeusz 5 Kapovich, Michael 5 McCammond, Jon 5 Porter, Timothy 5 Saltman, David J. 5 Strebel, Ralph 5 Wahl, Nathalie 4 Alonso, Juan Miguel 4 Belk, James M. 4 Bleak, Collin 4 Brady, Noel 4 Brady, Thomas 4 Callegaro, Filippo 4 Charney, Ruth M. 4 Damian, Erika 4 Daverman, Robert J. 4 de Cornulier, Yves 4 Dehornoy, Patrick 4 Dicks, Warren 4 Dimca, Alexandru 4 Dymara, Jan 4 Farrell, F. Thomas 4 Flores, Ramón J. 4 Friedl, Stefan 4 Friedlander, Eric Mark 4 Glover, Henry H. 4 Golasiński, Marek 4 Harlander, Jens 4 Heusener, Michael ...and 1,555 more Authors all top 5 Cited in 242 Serials 151 Journal of Pure and Applied Algebra 137 Journal of Algebra 70 Transactions of the American Mathematical Society 62 Algebraic & Geometric Topology 56 Topology and its Applications 55 Advances in Mathematics 45 Communications in Algebra 42 Annales de l’Institut Fourier 40 Proceedings of the American Mathematical Society 38 Geometry & Topology 37 Groups, Geometry, and Dynamics 36 Inventiones Mathematicae 33 Israel Journal of Mathematics 31 Geometriae Dedicata 30 Mathematische Zeitschrift 30 International Journal of Algebra and Computation 25 Duke Mathematical Journal 25 Mathematische Annalen 17 Journal of Combinatorial Theory. Series A 16 Journal of Group Theory 13 Communications in Mathematical Physics 13 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 13 Archiv der Mathematik 13 Journal of the American Mathematical Society 12 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 11 Compositio Mathematica 11 Journal of Algebraic Combinatorics 10 Journal of Topology and Analysis 9 Discrete Mathematics 9 Cahiers de Topologie et Géométrie Différentielle Catégoriques 9 European Journal of Combinatorics 9 Fixed Point Theory and Applications 8 Journal für die Reine und Angewandte Mathematik 8 Memoirs of the American Mathematical Society 8 Semigroup Forum 8 \(K\)-Theory 8 Geometric and Functional Analysis. GAFA 8 Journal of Homotopy and Related Structures 7 Mathematical Notes 7 Mathematical Proceedings of the Cambridge Philosophical Society 7 Bulletin of the London Mathematical Society 7 Journal of Number Theory 7 Manuscripta Mathematica 7 Proceedings of the Edinburgh Mathematical Society. Series II 7 Tôhoku Mathematical Journal. Second Series 7 Bulletin of the American Mathematical Society. New Series 7 Journal de Théorie des Nombres de Bordeaux 7 Journal of Mathematical Sciences (New York) 7 Journal of Inequalities and Applications 7 Algebras and Representation Theory 6 Journal of Functional Analysis 6 Osaka Journal of Mathematics 6 Applied Categorical Structures 6 Transformation Groups 6 Journal of the European Mathematical Society (JEMS) 5 Publications Mathématiques 5 Advances in Applied Mathematics 5 Discrete & Computational Geometry 5 Experimental Mathematics 5 St. Petersburg Mathematical Journal 5 Annals of Mathematics. Second Series 5 Journal of the Institute of Mathematics of Jussieu 5 Journal of Noncommutative Geometry 5 Journal of Nonlinear Science and Applications 4 Nuclear Physics. B 4 Rocky Mountain Journal of Mathematics 4 Journal of Geometry and Physics 4 Glasgow Mathematical Journal 4 Michigan Mathematical Journal 4 Monatshefte für Mathematik 4 Proceedings of the Japan Academy. Series A 4 Rendiconti del Seminario Matematico della Università di Padova 4 Publicacions Matemàtiques 4 Designs, Codes and Cryptography 4 Expositiones Mathematicae 4 Indagationes Mathematicae. New Series 4 Documenta Mathematica 4 Journal of Algebra and its Applications 4 Annales Mathématiques du Québec 3 Beiträge zur Algebra und Geometrie 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Illinois Journal of Mathematics 3 Journal of Soviet Mathematics 3 Proceedings of the London Mathematical Society. Third Series 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Siberian Mathematical Journal 3 Theoretical Computer Science 3 Ergodic Theory and Dynamical Systems 3 Annals of Pure and Applied Logic 3 Forum Mathematicum 3 Topology Proceedings 3 The Electronic Journal of Combinatorics 3 Selecta Mathematica. New Series 3 Theory and Applications of Categories 3 Annals of Combinatorics 3 Communications in Contemporary Mathematics 3 Journal of the Australian Mathematical Society 3 Algebra and Discrete Mathematics 3 Mediterranean Journal of Mathematics 3 Bulletin of the American Mathematical Society ...and 142 more Serials all top 5 Cited in 49 Fields 978 Group theory and generalizations (20-XX) 435 Manifolds and cell complexes (57-XX) 324 Algebraic topology (55-XX) 163 Category theory; homological algebra (18-XX) 146 Combinatorics (05-XX) 131 Associative rings and algebras (16-XX) 126 Algebraic geometry (14-XX) 123 Number theory (11-XX) 106 Topological groups, Lie groups (22-XX) 105 Geometry (51-XX) 69 \(K\)-theory (19-XX) 67 Differential geometry (53-XX) 54 General topology (54-XX) 46 Computer science (68-XX) 44 Several complex variables and analytic spaces (32-XX) 44 Probability theory and stochastic processes (60-XX) 40 Order, lattices, ordered algebraic structures (06-XX) 39 Dynamical systems and ergodic theory (37-XX) 37 Commutative algebra (13-XX) 37 Operator theory (47-XX) 37 Convex and discrete geometry (52-XX) 34 Nonassociative rings and algebras (17-XX) 33 Functional analysis (46-XX) 29 Global analysis, analysis on manifolds (58-XX) 27 Abstract harmonic analysis (43-XX) 26 Mathematical logic and foundations (03-XX) 22 Quantum theory (81-XX) 18 Field theory and polynomials (12-XX) 17 Functions of a complex variable (30-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Numerical analysis (65-XX) 5 General and overarching topics; collections (00-XX) 5 Statistics (62-XX) 4 Operations research, mathematical programming (90-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 History and biography (01-XX) 3 Measure and integration (28-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Information and communication theory, circuits (94-XX) 1 General algebraic systems (08-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.